In a hypothetical cubic unit cell, identical atoms are present at all corners and precisely at all edge centers. What is the effective number of atoms () in this unit cell?

Question

In a hypothetical cubic unit cell, identical atoms are present at all $8$ corners and precisely at all $12$ edge centers. What is the effective number of atoms ($Z$) in this unit cell?

Prashant Kotian · Accepted Answer

Correct answer: 4. Contribution from corners = . A cube has 12 edges, and each edge is shared by 4 unit cells. Contribution from edge centers = . Total effective atoms () = .

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